{"as_of":"2026-08-19T09:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:27ede921b98498c06ee4f30bab6888d8e6a0ad34e66fbc6b5cb809731a08d553","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T10:49:58.540580Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2504.17383/citation-record","integrity":"/paper/2504.17383/integrity","json":"/paper/2504.17383/citation-record.json","paper":"/paper/2504.17383"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.902162Z","title":"T he two-phase Stefan problem with anoma- lous diﬀusion","venue":null,"work_id":"b1dd58ac-099f-42a6-81d4-268fd180ad3f","year":2022},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.481079Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:85ded0552d3d802e42c97a6aa9678fb6319cb02e75202dc1a06f315e784c99bc","observation_id":"2c1bcf5f-224d-4bd1-bfdc-5a90bbad5e67","resolution":{"observed_at":"2026-08-16T10:49:58.905899Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03770","last_updated":"2024-12-04T23:17:59Z","snapshot_observed_at":"2026-08-19T04:12:41.623599Z","submitted_at":"2024-12-04T23:17:59Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","version":1},"cited_work":{"arxiv_id":"2412.03770","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.03770","snapshot_observed_at":"2026-08-16T10:49:58.728734Z","title":"Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators","venue":"math.AP","work_id":"b9670f3a-c018-4392-a7de-22272d265e13","year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.508035Z"},"links":{"cited_paper":"/paper/2412.03770","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:05ceb2aff86bab6ee80396310b560960e70ea5fa02a933d9c95f541cf86dcbde","observation_id":"525bc776-7747-4c0e-99f6-9272a794eafe","resolution":{"observed_at":"2026-08-16T10:49:58.733503Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.20097","last_updated":"2025-05-13T08:50:35Z","snapshot_observed_at":"2026-08-19T01:04:34.219448Z","submitted_at":"2024-09-30T08:49:03Z","title":"Time-insensitive nonlocal parabolic Harnack estimates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.20097","snapshot_observed_at":"2026-08-16T10:49:58.522359Z","title":"Po tential theory for nonlocal drift- diﬀusion equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.522359Z"},"links":{"cited_paper":"/paper/2409.20097","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:e19f1e0503facb368a37c111260fcaf48f9920abc8edc63135fb22612aaef2a5","observation_id":"03ccff26-c878-4410-997f-e51526382b1d","resolution":{"observed_at":"2026-08-16T10:49:58.522359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00526-024-02670-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Local boundedness of variat ional solutions to nonlocal dou- ble phase parabolic equations","venue":"Calculus of Variations and Partial Differential Equations","work_id":"1e54aa68-2e0a-461c-928b-9347700c6c31","year":2023},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.530128Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:3bd83a164459d614dbc9179464c242324e08b2825cce23e21ad4a90d50bbee4c","observation_id":"c680a585-ba02-4b6d-8661-4f548862734d","resolution":{"observed_at":"2026-08-16T10:49:58.609151Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.anihpc.2019.03.003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.591932Z","title":"Harnack’s inequality for parabo lic nonlocal equations","venue":null,"work_id":"7cf04e80-2d16-4515-92d6-895a54a23699","year":2019},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.533831Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:ed82f975a414dfbcd7440e25bea9ac8cc7302f43637c94716145d4e51e17aaed","observation_id":"1a51eb74-42f4-47cf-816f-c42370768fe6","resolution":{"observed_at":"2026-08-16T10:49:58.596164Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.485309Z","title":"Local H¨ old er regularity for nonlocal parabolic p-Laplace equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.485309Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:82ded60942a4c856fc5c3bc7de7d87bb1b4ddb4fb20ce14e024f2a139582f78e","observation_id":"09db2db1-5f6d-406f-bdd0-d14bdc518432","resolution":{"observed_at":"2026-08-16T10:49:58.485309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0219199722500328","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.644937Z","title":"A H¨ older estimate with an opti mal tail for nonlocal parabolic p- Laplace equations","venue":null,"work_id":"f27a3ebc-b294-4148-8145-db9fc17e8647","year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.488727Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:c0c2f898ed129479dcdd4c6f8aa01584e2c5f3ea5d90e96c656a8f43c98e5f96","observation_id":"1a688170-8056-4259-ba1e-ba5d2e4d813c","resolution":{"observed_at":"2026-08-16T10:49:58.648778Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.05975","last_updated":"2024-01-24T21:26:09Z","snapshot_observed_at":"2026-08-16T15:49:12.417158Z","submitted_at":"2023-03-10T15:13:54Z","title":"The parabolic Harnack inequality for nonlocal equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.05975","snapshot_observed_at":"2026-08-16T10:49:58.503923Z","title":"The parabolic Harnack in equality for nonlocal equations","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.503923Z"},"links":{"cited_paper":"/paper/2303.05975","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:2d60bd27a9b161957eafd0de3512e9c76194bdbd55c713c9b63b6d5924d5e983","observation_id":"b7b15015-6a26-456c-9fdc-eebb4c19c1fd","resolution":{"observed_at":"2026-08-16T10:49:58.503923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.518157Z","title":"[L W24] N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.518157Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:f6ce3ecccdc2ad9e185a5a0eb52d1f7b657bf03c162d00c07a8eac99eb3d7b13","observation_id":"d0f512b2-559c-4e95-82f2-1cd1ed195048","resolution":{"observed_at":"2026-08-16T10:49:58.518157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00526-023-02627-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"On the modulus of continuity of solutions to nonlocal parabolic equations","venue":"Calculus of Variations and Partial Differential Equations","work_id":"87526a5c-fa3e-4f5c-8b25-b945a18ca5cb","year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.514866Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:3795d357ac03a3875d9470e438ed85fb7512ab88e19b80f2f56f604f399d7f2d","observation_id":"bbcb6eb8-7909-4a23-9a52-57bbeeae6523","resolution":{"observed_at":"2026-08-16T10:49:58.636984Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.525804Z","title":"A method of solution of the general S tefan problem","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.525804Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:af4e0df2793a4bbcba4a4272623bee848f6f85b8fb6c6412a651f67f4aa56289","observation_id":"3f6504c6-a329-4eb4-8176-ad1d5216668e","resolution":{"observed_at":"2026-08-16T10:49:58.525804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.492259Z","title":"Local regularity for p arabolic nonlocal operators","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.492259Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:6e17807c8fa4905ceb62fb69a9b225f44569fa5896d4aabfabf9532a8f264a61","observation_id":"5a5f0bd3-7382-4951-b75f-24a4eb995b4b","resolution":{"observed_at":"2026-08-16T10:49:58.492259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.511651Z","title":"An improved modulus of continuity for the two-phase Stefan problem","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.511651Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:6b14239daf65a29393e169357b6517366bfa472778e14bc642ecac4adaa1a6de","observation_id":"a7106d43-4025-4f92-a47b-d0e752413143","resolution":{"observed_at":"2026-08-16T10:49:58.511651Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00028-024-00949-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Continuous solutions for a degenerat e free boundary problem","venue":"Journal of Evolution Equations","work_id":"a3c81362-cbb6-4eb7-92ec-bfea358b01a3","year":2000},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.537246Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:98200e459387c840cbf9332a611cf9a3b9901799ee08ac7a842fb2406c75d1eb","observation_id":"3fc1affe-62bc-4aca-a204-abe5fecbf4d6","resolution":{"observed_at":"2026-08-16T10:49:58.583756Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:49:58.890827Z","title":"The obs tacle problem for nonlinear integro- diﬀerential operators","venue":null,"work_id":"d53bc525-c8d5-4855-96b3-4921e880078f","year":2016},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":514,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.500134Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:893e04bc3fc0f79b121f48f6c8f9444b4982ce636ea571a37e750d26af621537","observation_id":"7723150b-e3b2-47f1-8917-b1be1d2c1793","resolution":{"observed_at":"2026-08-16T10:49:58.894733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-540-75932-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-17T11:03:46.409680Z","title":"A free boundary problem with convecti on for the p-Laplacian","venue":"Lecture notes in mathematics","work_id":"a4c4da7a-9444-48dc-96d2-50f0f445a67a","year":1997},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":1930,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.540580Z"},"links":{"citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:d0a6f23196fb53190b868469f11f0d1bcd3b2ad36f2392aa485060b89a5a94f8","observation_id":"3958aea7-314b-4b8f-8963-b3aab9b2a7ee","resolution":{"observed_at":"2026-08-16T10:49:58.572093Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11555","last_updated":"2024-08-21T12:06:52Z","snapshot_observed_at":"2026-08-16T13:24:55.382845Z","submitted_at":"2024-08-21T12:06:52Z","title":"Improved moduli of continuity for degenerate phase transitions","version":1},"cited_work":{"arxiv_id":"2408.11555","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.11555","snapshot_observed_at":"2026-08-16T10:49:58.759134Z","title":"Improved moduli of continuity for degenerate phase transitions","venue":"math.AP","work_id":"078d9766-16e3-4dac-9edc-0e0419ed4596","year":2024},"citing_paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-16T10:49:58.496473Z"},"links":{"cited_paper":"/paper/2408.11555","citing_paper":"/paper/2504.17383"},"observation_digest":"sha256:dd57706e40013056a4ad7125d61fe824955dad5910ad023252a2b7d0b24d5ac0","observation_id":"ff964ddf-7e70-4fbd-9a3a-491d62a993c8","resolution":{"observed_at":"2026-08-16T10:49:58.764274Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.17383","last_updated":"2025-04-24T09:05:02Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T10:39:23.482064Z","submitted_at":"2025-04-24T09:05:02Z","title":"Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":7,"verified_exact":7,"verified_fuzzy":2},"total_outbound_references":17},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2504.17383."}